Q: What are the prime factors of the number 2,688?

 A: 2, 3, 7

Why are those the prime factors of the number 2,688?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 2,688

2,688
Factor Arrows
21,344
Factor Arrows
2672
Factor Arrows
2336
Factor Arrows
2168
Factor Arrows
284
Factor Arrows
242
Factor Arrows
221
Factor Arrows
37

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 7

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 = 2,688

This can also be written as 27 x 31 x 71 = 2,688

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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